Global Bifurcations and Chaos

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Global Bifurcations and Chaos

Global Bifurcations and Chaos

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Global Bifurcations and Chaos

  • Brand: Unbranded

$109.00

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+ $19.99 Shipping

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$109.00

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14-Day Returns Policy

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Description

Global Bifurcations and Chaos

1. Introduction: Background for Ordinary Differential Equations and Dynamical Systems. - 1. 1. The Structure of Solutions of Ordinary Differential Equations. - 1. 2. Conjugacies. - 1. 3. Invariant Manifolds. - 1. 4. Transversality Structural Stability and Genericity. - 1. 5. Bifurcations. - 1. 6. Poincaré Maps. - 2. Chaos: Its Descriptions and Conditions for Existence. - 2. 1. The Smale Horseshoe. - 2. 2. Symbolic Dynamics. - 2. 3. Criteria for Chaos: The Hyperbolic Case. - 2. 4. Criteria for Chaos: The Nonhyperbolic Case. - 3. Homoclinic and Heteroclinic Motions. - 3. 1. Examples and Definitions. - 3. 2. Orbits Homoclinic to Hyperbolic Fixed Points of Ordinary Differential Equations. - 3. 3. Orbits Heteroclinic to Hyperbolic Fixed Points of Ordinary Differential Equations. - 3. 4. Orbits Homoclinic to Periodic Orbits and Invariant Tori. - 4. Global Perturbation Methods for Detecting Chaotic Dynamics. - 4. 1. The Three Basic Systems and Their Geometrical Structure. - 4. 2. Examples. - 4. 3. Final Remarks. - References. Language: English
  • Brand: Unbranded
  • Category: Education
  • Artist: Stephen Wiggins
  • Format: Paperback
  • Language: English
  • Publication Date: 2014/03/14
  • Publisher / Label: Springer
  • Number of Pages: 495
  • Fruugo ID: 337881690-741540992
  • ISBN: 9781461210412

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